Theorems · Theorem · category theory

CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIso_hom_app_hom_hom_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.MonoidalCategory D] [inst_3 : CategoryTheory.BraidedCategory D]
  (X : CategoryTheory.CommMon (CategoryTheory.Functor C D)) (X_1 : C),
  (CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIso.hom.app X).hom.hom.app X_1 =
    CategoryTheory.CategoryStruct.id (X.X.obj X_1)

Defined in

Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory

Cited by

0 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory